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On Pairs of Partitions with Steadily Decreasing Parts Communicated by George Andrews

✍ Scribed by Christine Bessenrodt


Book ID
102587362
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
126 KB
Volume
99
Category
Article
ISSN
0097-3165

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✦ Synopsis


A new generating function identity for special pairs of partitions with steadily decreasing parts is proved via a bijection. Viewing such pairs of partitions (or, more generally, special r-tuples of partitions) as coloured modular Young diagrams also allows to give bijective proofs for generating function identities due to Carlitz and Andrews.